ln the given figure, from the point P two tangents PA and PB are drawn to a circle with centre O and radius 5 cm. From the point O, OC and OD are drawn parallel to PA and PB respectively. If the length of the chord AB is 5 cm. then what is the value (in degrees) of ∠COD?

ln the given figure, from the point P two tangents PA and PB are drawn to a circle with centre O and radius 5 cm. From the point O, OC and OD are drawn parallel to PA and PB respectively. If the length of the chord AB is 5 cm. then what is the value (in degrees) of ∠COD?

Answer: Option B

Solution

Answer: Option B

Solution:

So, ΔAOB is an equilateral triangle
So, ∠APB + ∠AOB = 180°
∠APB = 120°
So PA and PB are parallel to OC and OD
So ∠APB = ∠COD
∴ ∠COD = 120°